如果sin(x+y)/sin(x-y)=m/n,则tany/tanx的值为?
有助于回答者给出准确的答案
人气:110 ℃ 时间:2020-02-03 17:53:46
解答
sin(x+y)/sin(x-y)=m/n(sinxcosy+cosxsiny)/(sinxcosy-cosxsiny)=m/n上下同除以sinxcosy(1+tany/tanx)/(1-tany/tanx)=m/nn(1+tany/tanx)=m(1-tany/tanx)(m+n)tany/tanx=m-ntany/tanx=(m-n)/(m+n)
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